Finding the Fourth Proportional to 10,460.79, 14,436.81 and 5,746.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.79 : 14,436.81 = 5,746.05 : x
2. Step 2: Convert to fraction form
   10,460.79/14,436.81 = 5,746.05/x
3. Step 3: Cross multiply
   10,460.79x = 14,436.81 × 5,746.05
4. Step 4: Simplify right side
   10,460.79x = 82,954,632.10
5. Step 5: Solve for x
   x = 82,954,632.10/10,460.79
6. Step 6: Final answer
   x = 7,930.05